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What is the Least Common Multiple of 31259 and 31271?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 31259 and 31271 is 977500189.

LCM(31259,31271) = 977500189

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Least Common Multiple of 31259 and 31271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31259 and 31271, than apply into the LCM equation.

GCF(31259,31271) = 1
LCM(31259,31271) = ( 31259 × 31271) / 1
LCM(31259,31271) = 977500189 / 1
LCM(31259,31271) = 977500189

Least Common Multiple (LCM) of 31259 and 31271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31259 and 31271. First we will calculate the prime factors of 31259 and 31271.

Prime Factorization of 31259

Prime factors of 31259 are 31259. Prime factorization of 31259 in exponential form is:

31259 = 312591

Prime Factorization of 31271

Prime factors of 31271 are 31271. Prime factorization of 31271 in exponential form is:

31271 = 312711

Now multiplying the highest exponent prime factors to calculate the LCM of 31259 and 31271.

LCM(31259,31271) = 312591 × 312711
LCM(31259,31271) = 977500189